751 u the following exercises, find exact solutions on the interval [0, 27). Look for opportunities to use trigonometric identities. 50. sin² x – cos² x – sin x = 0 51. sin? x + cos² x = 0 52. sin(2x) – sin x= 0 53. cos(2x) – cos x= 0 2 tan x 54. = cos 2 – sec? x sin² x = cos? x 55. 1 – cos(2x) =1+ cos(2x) %3D - 56. sec? x = 7 57. 10sin xcos x = 6cos x 58. – 3sin t = 15cos t sin t 59. 4cos² x – 4 = 15cos x 60. 8sin? x + 6sin x + 1 = 0 61. 8cos? 0 = 3 – 2cos 0 64. tan x= 3sin x 62. 6cos² x + 7sin x – 8 = 0 63. 12sin? t + cos t – 6 = 0 65. cos³ t = cost a the following exercises, algebraically determine all solutions of the trigonometric equation exactly, then verify the 68, 100tan? x + 20tan x – 3 = 0 GRAPHICAL tion and finding the zeros. 4 4 57. sin ().. - sin ()." (-) . cos (-). 2a - cos (-). S Зл TT – sin sin-1 59. cos 2л - cos 4 4 (--)- 63. cos (). cos "(-). 27 – cos (-). 2 – cos ( 3 2n – COS 4 3 5л COS 3 4, :) , 27 – cos- 3 2л - сos COS
751 u the following exercises, find exact solutions on the interval [0, 27). Look for opportunities to use trigonometric identities. 50. sin² x – cos² x – sin x = 0 51. sin? x + cos² x = 0 52. sin(2x) – sin x= 0 53. cos(2x) – cos x= 0 2 tan x 54. = cos 2 – sec? x sin² x = cos? x 55. 1 – cos(2x) =1+ cos(2x) %3D - 56. sec? x = 7 57. 10sin xcos x = 6cos x 58. – 3sin t = 15cos t sin t 59. 4cos² x – 4 = 15cos x 60. 8sin? x + 6sin x + 1 = 0 61. 8cos? 0 = 3 – 2cos 0 64. tan x= 3sin x 62. 6cos² x + 7sin x – 8 = 0 63. 12sin? t + cos t – 6 = 0 65. cos³ t = cost a the following exercises, algebraically determine all solutions of the trigonometric equation exactly, then verify the 68, 100tan? x + 20tan x – 3 = 0 GRAPHICAL tion and finding the zeros. 4 4 57. sin ().. - sin ()." (-) . cos (-). 2a - cos (-). S Зл TT – sin sin-1 59. cos 2л - cos 4 4 (--)- 63. cos (). cos "(-). 27 – cos (-). 2 – cos ( 3 2n – COS 4 3 5л COS 3 4, :) , 27 – cos- 3 2л - сos COS
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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#63- Could you please show me how to get the answer to this? I have attached the answer as well but would like to know the steps to get there. Thank you!
Transcribed Image Text:751
u the following exercises, find exact solutions on the interval [0, 27). Look for opportunities to use trigonometric
identities.
50. sin² x – cos² x – sin x = 0
51. sin? x + cos² x = 0
52. sin(2x) – sin x= 0
53. cos(2x) – cos x= 0
2 tan x
54.
= cos
2 – sec? x
sin² x = cos? x
55. 1 – cos(2x) =1+ cos(2x)
%3D
-
56. sec? x = 7
57. 10sin xcos x = 6cos x
58. – 3sin t = 15cos t sin t
59. 4cos² x – 4 = 15cos x
60. 8sin? x + 6sin x + 1 = 0
61. 8cos? 0 = 3 – 2cos 0
64. tan x= 3sin x
62. 6cos² x + 7sin x – 8 = 0
63. 12sin? t + cos t – 6 = 0
65. cos³ t = cost
a the following exercises, algebraically determine all solutions of the trigonometric equation exactly, then verify the
68, 100tan? x + 20tan x – 3 = 0
GRAPHICAL
tion and finding the zeros.
Transcribed Image Text:4
4
57. sin ().. - sin ()."
(-)
. cos (-). 2a - cos (-). S
Зл
TT – sin
sin-1
59. cos
2л - cos
4
4
(--)-
63. cos (). cos "(-). 27 – cos (-). 2 – cos (
3
2n – COS
4
3
5л
COS
3
4,
:) , 27 – cos-
3
2л - сos
COS
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